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216230352 = 243131971759
BaseRepresentation
bin11001110001101…
…10100111010000
3120001212122021120
430320312213100
5420323332402
633242322240
75233633122
oct1470664720
9501778246
10216230352
11101069078
12604b9380
1335a4a970
1420a09212
1513eb33bc
hexce369d0

216230352 has 80 divisors (see below), whose sum is σ = 604961280. Its totient is φ = 66157056.

The previous prime is 216230341. The next prime is 216230353. The reversal of 216230352 is 253032612.

216230352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216230353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122049 + ... + 123807.

It is an arithmetic number, because the mean of its divisors is an integer number (7562016).

Almost surely, 2216230352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216230352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).

216230352 is an abundant number, since it is smaller than the sum of its proper divisors (388730928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216230352 is a wasteful number, since it uses less digits than its factorization.

216230352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 216230352 is about 14704.7731026358. The cubic root of 216230352 is about 600.2132131135.

Adding to 216230352 its reverse (253032612), we get a palindrome (469262964).

The spelling of 216230352 in words is "two hundred sixteen million, two hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 197 208 312 394 591 624 788 1182 1576 1759 2364 2561 3152 3518 4728 5122 5277 7036 7683 9456 10244 10554 14072 15366 20488 21108 22867 28144 30732 40976 42216 45734 61464 68601 84432 91468 122928 137202 182936 274404 346523 365872 548808 693046 1039569 1097616 1386092 2079138 2772184 4158276 4504799 5544368 8316552 9009598 13514397 16633104 18019196 27028794 36038392 54057588 72076784 108115176 216230352